The linear characteristics of a vertically stacked multiring resonator (VMR) that can support a photonic bandgap with a defect located at the middle of the structure are investigated numerically. Initially, the spectral transfer characteristics of the uniform structure are studied. Then, the transmission properties of the VMR structure possessing a defect are investigated. The defect is realized by varying the waveguide width of one of the rings in the VMR chain. Finally, the existence of defect modes in the linear periodic array is numerically demonstrated by solving the corresponding coupled wave equations. Numerical results predict a high quality factor (Q) of up to 1.6 X 10~(5) for this microcavity. We also show that our microcavity has a good insensitivity of quality factor to geometric imperfections.
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机译：数值研究了垂直支撑的多环谐振器（VMR）的线性特性，该谐振器可以支撑具有结构中部缺陷的光子带隙。最初，研究了均匀结构的光谱传输特性。然后，研究具有缺陷的VMR结构的透射特性。该缺陷是通过改变VMR链中一个环的波导宽度来实现的。最后，通过求解相应的耦合波动方程，数值证明了线性周期阵列中缺陷模式的存在。数值结果表明，该微腔的品质因数（Q）高达1.6 X 10〜（5）。我们还表明，我们的微腔对几何缺陷具有良好的不敏感度。
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